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1375204181481 = 361342572
BaseRepresentation
bin10100000000110000100…
…011101000010111101001
311212110122100021201000000
4110000300203220113221
5140012404232301411
62531432102133213
7201232561446654
oct24006043502751
94773570251000
101375204181481
114902479aa899
121a2635121209
139c8b1790000
144a7bb41289b
1525b8b370956
hex140308e85e9

1375204181481 has 105 divisors (see below), whose sum is σ = 2242404141491. Its totient is φ = 842986579968.

The previous prime is 1375204181443. The next prime is 1375204181503. The reversal of 1375204181481 is 1841814025731.

The square root of 1375204181481 is 1172691.

It is a perfect power (a square), and thus also a powerful number.

1375204181481 is a `hidden beast` number, since 1 + 3 + 7 + 52 + 0 + 41 + 81 + 481 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 851919770025 + 523284411456 = 922995^2 + 723384^2 .

It is not a de Polignac number, because 1375204181481 - 233 = 1366614246889 is a prime.

It is a super-2 number, since 2×13752041814812 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1375204181411) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 5350988905 + ... + 5350989161.

Almost surely, 21375204181481 is an apocalyptic number.

1375204181481 is the 1172691-st square number.

1375204181481 is the 586346-th centered octagonal number.

It is an amenable number.

1375204181481 is a deficient number, since it is larger than the sum of its proper divisors (867199960010).

1375204181481 is an frugal number, since it uses more digits than its factorization.

1375204181481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 1375204181481 in words is "one trillion, three hundred seventy-five billion, two hundred four million, one hundred eighty-one thousand, four hundred eighty-one".

Divisors: 1 3 9 13 27 39 81 117 169 243 257 351 507 729 771 1053 1521 2197 2313 3159 3341 4563 6591 6939 9477 10023 13689 19773 20817 28561 30069 41067 43433 59319 62451 66049 85683 90207 123201 130299 177957 187353 198147 257049 270621 390897 533871 564629 594441 771147 811863 858637 1172691 1601613 1693887 1783323 2313441 2435589 2575911 3518073 5081661 5349969 6940323 7340177 7727733 10554219 11162281 15244983 16049907 20820969 22020531 23183199 31662657 33486843 45734949 48149721 66061593 69549597 100460529 137204847 145109653 198184779 208648791 301381587 411614541 435328959 594554337 625946373 904144761 1305986877 1783663011 1886425489 2712434283 3917960631 5350989033 5659276467 8137302849 11753881893 16977829401 35261645679 50933488203 105784937037 152800464609 458401393827 1375204181481